40,332,004

2² × 10083001

40,332,004 factors as 2^2 × 10083001. Its 6 positive divisors give a proper-divisor sum of 30,249,010, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 10083001

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 70,581,014

Proper Divisor Sum 30,249,010

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #40332001 ← → #40332013

Radix Representation

Decimal	40332004
Binary	10011001110110101011100100 (26 bits)
Octal	0o231665344
Hexadecimal	0x2676AE4

Divisor Catalog (6)

1 2 4 10,083,001 20,166,002 40,332,004

Collatz Trajectory (85 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

40,332,004 20,166,002 10,083,001 30,249,004 15,124,502 7,562,251 22,686,754 11,343,377 34,030,132 17,015,066 8,507,533 25,522,600 12,761,300 6,380,650 3,190,325 9,570,976 4,785,488 2,392,744 1,196,372 598,186 299,093 897,280 448,640 224,320 112,160 56,080 28,040 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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